Analytic properties of the Landau gauge gluon and quark propagators

By R. Alkofer, William Detmold, Christian S. Fischer, P. Maris. 2003

192 citations recorded by the source corpus.

We explore the analytic structure of the gluon and quark propagators of Landau gauge QCD from numerical solutions of the coupled system of renormalized Dyson-Schwinger equations and from fits to lattice data. We find sizable negative norm contributions in the transverse gluon propagator indicating the absence of the transverse gluon from the physical spectrum. A simple analytic structure for the gluon propagator is proposed. For the quark propagator we find evidence for a masslike singularity on the real timelike momentum axis, with a mass of 350 to 500 MeV. Within the Green's function approach that is employed, we identify a crucial term in the quark-gluon vertex that leads to a positive definite Schwinger function for the quark propagator.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/30ad0d25466d207757fafb7297977092a40bbd3b

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In Nuclear and High Energy Physics

Citations in the corpus

QCD at finite temperature and chemical potential from Dyson–Schwinger equations (2018, methodology): “of DSEs in the complex momentum plane [338], analytic continuations using MEM and related methods [349,356,357], considerations based on axiomatic ﬁeld theory [358], studies of the Schwinger function [359] up to guided ﬁts to lattice data [342,360,361]. While some of these results point towards a pa”
What's up with IR gluon and ghost propagators in Landau gauge? A puzzling answer from huge lattices (2007, methodology): “1. On the other hand, violation of reﬂection positivity is co nﬁrmed and the gluon propagator, considered as a function of the spatial separation s, becomes negative at s ≈1fm, in agreement with Ref. [30]. We have also tried to estimate the IR exponent aG for the ghost propagator (in the 3d and 4d c”
The Gribov problem and QCD dynamics (2012, background): “The group is extended from U(1) to SU(2) and, for QCD, SU(3), but these theories embody the geometrical gauge character introduced by Weyl.”
Nonperturbative properties of Yang–Mills theories (2018, methodology): “Such non-analyticities can also be created by the angle integration [379, 398, 399].”
The QCD running coupling (2016, methodology): “43) was used to study analytic properties of the gluon and quark propagators in the Landau gauge [252].”